New posts in statistical-inference

(Uniformly) Most Powerful test

statistics statistical-inference hypothesis-testing

How to find MLE of this piecewise pdf?

statistics statistical-inference maximum-likelihood parameter-estimation

Variance of the median estimator of normal distribution [closed]

statistics normal-distribution statistical-inference estimation order-statistics

Expected value of order statistics from uniform distribution

statistics probability-distributions statistical-inference estimation order-statistics

Why is the Fisher information matrix so important, and why do we need to calculate it?

statistics statistical-inference fisher-information

What is the most general formalism for machine learning?

probability-theory statistical-inference bayesian machine-learning

Proof: Rank of a Random (arbitrary size) Matrix is full rank with probability $1$?

probability-theory probability-distributions statistical-inference machine-learning

How to find UMVUE of $\theta^k$ when $x_1, \ldots, x_n$ is a sample from Bernoulli$(\theta)$?

probability statistics probability-distributions statistical-inference parameter-estimation

Hard problem to show almost sure boundedness

probability-theory statistics random-variables asymptotics statistical-inference

If $X$ is an observation from a $\text{Binom}(n, p)$, with $0 < p < 1$, how to find the UMVUE of $p^2$, and does it reach the Cramer-Rao lower bound?

statistics statistical-inference binomial-distribution

What is the motivation for using cross-entropy to compare two probability vectors?

probability statistical-inference machine-learning

UMVUE for $λ𝑒^{−\lambda}$ where $𝑋_1, 𝑋_2$ are two independent observations from a Poisson$(λ)$ and $λ > 0$ is an unknown parameter.

statistics statistical-inference poisson-distribution

Probability vs Confidence

probability statistics statistical-inference estimation confidence-interval

Basu's theorem to show independence

statistics statistical-inference independence parameter-estimation order-statistics

$X_i$ follows Bernoulli distribution find UMVUE of $\theta(1-\theta)$

statistics statistical-inference binomial-distribution parameter-estimation

Find Uniform Minimum Variance Unbiased estimator (UMVU) using Lehmann Scheffé - showing statistic is complete

statistics statistical-inference exponential-distribution parameter-estimation

Distribution of Sum of Discrete Uniform Random Variables

statistics uniform-distribution statistical-inference

Show that Statistic is complete

statistics statistical-inference parameter-estimation

Poisson random variables and Binomial Theorem

probability probability-theory probability-distributions statistical-inference binomial-theorem

If $X$ is a complete estimator, then a linear transformation of $X$ is a complete estimator?

probability statistical-inference estimator